Inflation followed by Belinskii-Khalatnikov-Lifshitz collapse inside accreting, rotating black holes

Abstract

Numerical evidence is presented that the Poisson-Israel mass inflation instability at the inner horizon of an accreting, rotating black hole is generically followed by Belinskii-Khalatnikov-Lifshitz oscillatory collapse to a spacelike singularity. The computation involves following all 6 degrees of freedom of the gravitational field. To simplify the problem, the computation takes as initial conditions the conformally separable solutions of arXiv:1010.1269, arXiv:1010.1271 just above the inner horizon of a slowly accreting, rotating black hole, and integrates the equations inward along single latitudes.

16 pages, 7 figures; v2: minor revisions, typos fixed

References in corpus (2)

• Global geometry of two-dimensional charged black holes
• A covariant Hamiltonian tetrad approach to numerical relativity

Cited by in corpus (12)

• Black hole inner horizon evaporation in semiclassical gravity
• Hawking radiation inside a charged black hole
• Mathematical General Relativity
• Backreaction from quantum fluxes at the Kerr inner horizon
• Geometry near the inner horizon of a rotating, accreting black hole
• Renormalization of $⟨{\varphi }^2⟩$ at the inner horizon of rotating, accreting black holes
• The Marolf-Ori singularity inside fast spinning black holes
• A covariant Hamiltonian tetrad approach to numerical relativity
• Wave equations in conformally separable, accreting, rotating black holes
• Physical objects approaching the Cauchy horizon of a rapidly rotating Kerr black hole
• Revisiting Schwarzschild black hole singularity through string theory
• Black hole singularity is a surface not a point